Chain Rule with the Quotient Rule Problem 3 (Calculus 1)

[@justindesilva9]

when khan academy, NancyPi and the chemsitry tutor couldnt save me, blacktshirt came for the rescue

[@erinphillips5431]

This is the best video I’ve seen on this topic. Thank you for explaining clearly.

[@valeriagranados5932]

Very understandable thank you so much teacher!!

[@alphakr8894]

Amazing Video! Very clear, I've been stressing about my exam and this made things very clear! You deserve much more subscribers than you have.

[@BlackTshirtMathProfessor]

Thanks! Good luck on your exam 💪🏻

[@JRyanEE]

Thank you, this is was easier to understand compared to the other examples I was trying to learn from.

[@widelecwkontakcie]

Thank you! It is finally clear now

[@louieavila3987]

THANK YOU SO MUCH!!!! TEACHER DIDNT EXPLAIN THIS AND MATHWAY WAS NO HELP EITHER!

[@lourdesnevarez1586]

How did you start off by leaving the denominator as (x^2+1) when it was (x^2+1)^2? how did you get rid of the square? at point 6:48 ? thank you!

[@excdragaming1785]

raising to power of 2 cancels the square root

[@DianaKot-z7f]

Thanks a lot for explaining it so clearly and finding such an encompassing example! hopefully more people will discover your channel ! :)

[@ronaldosburner7]

appreciate ur work, keep it up!.

[@taehyungtwin]

tysm i was about to kms over this

[@amogelangntsoane5900]

bout to watch, if it doesnt help me, im doin it.

[@SalamaAMV]

thank u very much sir i learned a lot

[@BlackTshirtMathProfessor]

I’m glad that it helped

[@udehjosiahsnowwhite7761]

Thank you sooooo much ❤

[@NASALunarLight]

Would it be embarrassing to say that I was attempting to use f(x+h)-f(x)/h as a reference to solve this problem? When it was just quotient rule all along? Oops.

[@Story_time_funandnews]

Same😭

[@isajones9146]

Im confused how you got the minus x^2 in the numerator

[@BlackTshirtMathProfessor]

It comes from x * x/sqrt(x^2 + 1) after multiplying the numerator and denominator by sqrt(x^2 + 1). Think of the first factor of x as x/1 and then multiply and cancel common factors.

[@juliannafotheringham7101]

AMAZING THANK YOU

[@nkosikhonabengu641]

if I could I would like this video 10 000 times🙌👍

[@fatema7589]

Thank uuuu❤

[@M.7]

Lifesaver

[@sokohannette3702]

I don't understand how you got 2x

[@rapmayuga7620]

Derivative of x²+1 is 2x because u cancel the constant +1 and you bring down the squared exponent then -1 the exponent

[@nemesis8265]

learn power rule and then come back to this video

[@johnmartin3275]

I want you as my teacher lol

[@thatomofolo452]

Awesomeness

[@VictoriaNondo]

I don't understand how you got 2x

[@tcggggg]

2x was the derivative of the inner part of the parenthesis.

[@nemesis8265]

learn power rule and then come back to this video

[@marilizarwamala3912]

I don't understand how you got 2x

[@BlackTshirtMathProfessor]

It’s from using the Chain Rule to differentiate x^2